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Finding the Third Proportional to 1,035,123 and 2,252,494.50

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Solution

The third proportional to 1,035,123 and 2,252,494.50 is: 4,901,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,123 : 2,252,494.50 = 2,252,494.50 : x
  2. Step 2: Convert to fraction form
    1,035,123/2,252,494.50 = 2,252,494.50/x
  3. Step 3: Cross multiply
    1,035,123x = 2,252,494.50 × 2,252,494.50
  4. Step 4: Simplify right side
    1,035,123x = 5,073,731,472,530.25
  5. Step 5: Solve for x
    x = 5,073,731,472,530.25/1,035,123
  6. Step 6: Final answer
    x = 4,901,573.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.